OF THE OBSERVATORY OF HARVARD COLLEGE. 301 
Ai. 2. Observations made at the Royal Observatory, Greenwich, in the Years 1853 - 
1857, under the Direction of George Biddell Airy, Esq., M. A. London. 
1855-1859. 5 vols. Ato. 
J. 2. Observations made at the Radcliffe Observatory [etc. as above. 1854-1857]. 
Volume XV.- XVIII. Oxford. 1856-1859. 8vo. 
The Catalogue M. contains the places for 1850.0 of the stars in Bessel's “ Funda- 
menta,” and the positions given are deduced from a discussion of previous Catalogues, 
including those cited above, with the exception of Ja., J. 2, and Ai. 2; including also, 
as I have assumed, the Greenwich Observations till 1852 inclusive. For many of the 
stars in the following list, therefore, the places from M are reduced to 1859, and given 
as definitive. For others, the places from the Catalogues Ai. 2, Ja., and J. 2 are 
annexed to those from M. In such case, the proper motion given by Mádler has been 
used to reduce the other Catalogue places to 1859, and the number of observations 
employed by Mádler in his discussion has been divided by 2, to get the weight assigned 
to Mádler's place. Each observation from Az. 2 or J. 2 has received the weight 1, 
and each one from Ja. the weight .5. 
The systematic corrections employed to reduce the Catalogues to the zero of Madler 
have been those taken from his discussion, so far as applicable; and for the Catalogues 
J. 9, Ai. 2, and Ja., a separate examination has been made. 
A few of Mádler's positions have been unemployed, the stars being discussed anew. 
The remaining stars of the following list, those not occurring in the Fundamenta, have 
been discussed by employing the systematic differences given by Mádler and on pp. 
302, 303, to reduce, with the aid of Bessel's precession, the observed positions to 1859. 
Comparisons, then, between ancient observations (generally Groombridge's of 1810) 
and the modern ones (referring in general to a time about 1845) have given approxi- 
mate proper motions by which they could be referred to 1859. 
The right ascensions have been taken (to seconds) from the British Association 
Catalogue, except in one or two cases, where obvious errors existed in some of the 
Catalogues from which that was formed. Its annual variation to 0*.1 is given under 
the heading Annual Variation. The magnitudes have been taken either from Arge- 
lander* or Johnson, where possible; if not one of these, Groombridge has been 
employed, or the Histoire Céleste. 
Madler’s systematic corrections, referred to above, are, so far as we shall want 
them : — 
* Argelander's Uranometria Nova has been used, in preference to other authorities, for magnitudes. 
VOL. VIII. 39 
